Textbook Problem

Let $X=\left\{a,b,c\right\}$ and $Y=\left\{r,s,tu,v,w\right\}$ , Define $f:X\to Y$ as follows: $f\left(a\right)=v\left(b\right)=v,$ and $f\left(c\right)=t$ .

1. Draw an arrow diagram for f.

Let $A=\left\{a,b\right\},C=\left\{t\right\},D=\left\{u,v\right\}$ and

$E=\left\{r,s\right\}$ . Find $f\left(A\right),f\left(X\right)f^{-1}\left(C\right),f^{-1}\left(D\right),f^{-1}\left(E\right),\text{and}{f}^{-1}\left(Y\right)$